Answer:
Decimal= .75
fraction= 75/100; 3/4
Step-by-step explanation:
Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is

Using distance formula, the distance between (-5,8) and (-3,1) is





Therefore, the distance between two points (-5,8) and (-3,1) is
units.
Answer:
y=-1/3x+1
Step-by-step explanation:
The slope of this line is negative, and is equal to rise over run.
To find slope, count the number of spaces it has moved down or up, and then the number of spaces it has moved left or right.
The y intercept is represented by +1, and is where the line crosses the y axis.
Hope this helps!
Answer:
y=-2x-3
Step-by-step explanation:
Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning
(negative reciprocal). Now we must use the point slope formula:

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.